Transition from particlelike to wavelike behavior for an electron in one-dimensional nonuniform lattice systems

2016 ◽  
Vol 94 (3) ◽  
Author(s):  
Longyan Gong ◽  
Bingjie Xue ◽  
Wenjia Li ◽  
Weiwen Cheng ◽  
Shengmei Zhao
Keyword(s):  
Lattice Systems ◽  
One Dimensional

scholarly journals NUMERICAL CALCULATION OF THE COMPLEX BERRY PHASE IN NON-HERMITIAN SYSTEMS

2017 ◽  
Vol 57 (6) ◽  
pp. 470 ◽  
Author(s):  
Marcel Wagner ◽  
Felix Dangel ◽  
Holger Cartarius ◽  
Jörg Main ◽  
Günter Wunner
Keyword(s):  
Berry Phase ◽  
Tight Binding ◽  
Analytical Calculation ◽  
Periodic Lattice ◽  
Topological Phases ◽  
Lattice Systems ◽  
One Dimensional ◽  
Berry Phases ◽  
Biorthogonal Basis ◽  
Smoothing Procedure

We numerically investigate topological phases of periodic lattice systems in tight-binding description under the influence of dissipation. The effects of dissipation are effectively described by <em>PT</em>-symmetric potentials. In this framework we develop a general numerical gauge smoothing procedure to calculate complex Berry phases from the biorthogonal basis of the system's non-Hermitian Hamiltonian. Further, we apply this method to a one-dimensional <em>PT</em>-symmetric lattice system and verify our numerical results by an analytical calculation.

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